Question

The area of a trapezoid is 150 in squared if the height is 8 in. And the longer base is 23 in. What is the length of the shorter base ?

Answer 1

$A=150in^2\\\\h=8in;\ a=23in;\ b=?\\\\A=\frac{a+b}{2}\cdot h\\\\\frac{23+b}{2}\cdot8=150\\\\(23+b)\cdot4=150\ \ \ \ /:4\\\\23+b=37.5\ \ \ \ /-23\\\\b=14.5\ (in)\leftarrow answer$